11790037056 has 224 divisors, whose sum is σ = 37412208640. Its totient is φ = 3205785600.

The previous prime is 11790037033. The next prime is 11790037093. The reversal of 11790037056 is 65073009711.

11790037056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2539185 + ... + 2543823.

Almost surely, 2^11790037056 is an apocalyptic number.

11790037056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11790037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18706104320).

11790037056 is an abundant number, since it is smaller than the sum of its proper divisors (25622171584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11790037056 is a wasteful number, since it uses less digits than its factorization.

11790037056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The spelling of 11790037056 in words is "eleven billion, seven hundred ninety million, thirty-seven thousand, fifty-six".